Bonjour,
[tex]\begin{algin}\frac{1+\sqrt{2}}{\sqrt{6}} &= \frac{1}{\sqrt{6}} + \frac{\sqrt{2}}{\sqrt{6}}\\&= \frac{1}{\sqrt{6}} + \sqrt{\frac{2}{6}} \\&= \frac{1}{\sqrt{6}} + \sqrt{\frac{1}{3}}\\&= \frac{1}{\sqrt{6}} + \frac{\sqrt{1}}{\sqrt{3}}\\&= \frac{1}{\sqrt{6}} + \frac{1}{\sqrt{3}}\end{align}[/tex]
Bonne journée,
Thomas